Kahler-Einstein Metrics and Integral Invariants 1988 Edition at Meripustak

Kahler-Einstein Metrics and Integral Invariants 1988 Edition

Books from same Author: Akito Futaki

Books from same Publisher: Springer

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  • General Information  
    Author(s)Akito Futaki
    PublisherSpringer
    ISBN9783540192503
    Pages140
    BindingPaperback
    LanguageEnglish
    Publish YearJune 1988

    Description

    Springer Kahler-Einstein Metrics and Integral Invariants 1988 Edition by Akito Futaki

    These notes present very recent results on compact Kahler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kahler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kahler-Einstein metric and lifting to a group character. Other related topics such as extremal Kahler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kahlerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject.